<!DOCTYPE html>
<html lang="en-US">
<!--********************************************-->
<!--*       Generated from PreTeXt source      *-->
<!--*                                          *-->
<!--*         https://pretextbook.org          *-->
<!--*                                          *-->
<!--********************************************-->
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<meta name="robots" content="noindex, nofollow">
</head>
<body class="ignore-math">
<h3 class="heading"><span class="type">Paragraph</span></h3>
<p>Propose Initial conditions as</p>
<div class="displaymath process-math" data-contains-math-knowls="./knowl/eq7_2.html ./knowl/eq7_3.html">
\begin{equation}
x_1(t_0)=x_1^0, \quad x_2(t_0)=x_2^0,\cdots, x_n(t_0)=x_n^0.\tag{6.1.3}
\end{equation}
</div>
<p class="continuation">The system of (<a href="" class="xref" data-knowl="./knowl/eq7_2.html" title="Equation 6.1.2">(6.1.2)</a>) and (<a href="" class="xref" data-knowl="./knowl/eq7_3.html" title="Equation 6.1.3">(6.1.3)</a>) is called an initial value problem.</p>
<span class="incontext"><a href="sec6_1.html#p-248" class="internal">in-context</a></span>
</body>
</html>
